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Finding the Fourth Proportional to 1,826.80, 2,739.03 and 786.76

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Solution

The fourth proportional to 1,826.80, 2,739.03 and 786.76 is: 1,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.80 : 2,739.03 = 786.76 : x
  2. Step 2: Convert to fraction form
    1,826.80/2,739.03 = 786.76/x
  3. Step 3: Cross multiply
    1,826.80x = 2,739.03 × 786.76
  4. Step 4: Simplify right side
    1,826.80x = 2,154,959.24
  5. Step 5: Solve for x
    x = 2,154,959.24/1,826.80
  6. Step 6: Final answer
    x = 1,179.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.